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Finding the Fourth Proportional to 398,766.40, 597,274.80 and 354,443.20

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Solution

The fourth proportional to 398,766.40, 597,274.80 and 354,443.20 is: 530,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,766.40 : 597,274.80 = 354,443.20 : x
  2. Step 2: Convert to fraction form
    398,766.40/597,274.80 = 354,443.20/x
  3. Step 3: Cross multiply
    398,766.40x = 597,274.80 × 354,443.20
  4. Step 4: Simplify right side
    398,766.40x = 211,699,991,391.36
  5. Step 5: Solve for x
    x = 211,699,991,391.36/398,766.40
  6. Step 6: Final answer
    x = 530,887.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.